Greatest Common Factor of 407/288, 2277/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 407/288, 2277/597

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 407/288,2277/597

Given fractions are 407/288,2277/597

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 407,2277

Greatest Common Factor of Numerators i.e. GCF of 407,2277 is 11 .

LCM of Denominators means LCM of 288,597 as per the given fractions.

LCM of 288,597 is 57312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 407,2277

GCF of Fractions 407/288,2277/597 is 11/57312

11 407, 2277
37, 207

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 407,2277 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,2277 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 2277

List of positive integer factors of 2277 that divides 2277 without a remainder.

1,3,9,11,23,33,69,99,207,253,759,2277

Greatest Common Factor

We found the factors 407,2277 . The biggest common factor number is the GCF number.
So the greatest common factor 407,2277 is 11.

Lets's calculate LCM of 288,597

3 288, 597
96, 199

∴ So the LCM of the given numbers is 3 x 96 x 199 = 57312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/57312

Therefore, the GCF of Fractions 407/288,2277/597 is 11/57312

Least Common Multiple of 288,597 with GCF Formula

Least Common Multiple of 288,597 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 288,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,597) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(288,597) x common factors =3 x 1 = 3

LCM(288,597) = ( 288 × 597 ) / 3

LCM(288,597) = 171936 / 3

LCM(288,597) = 57312


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 407/288, 2277/597

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 407/288, 2277/597?

Answer: GCF of Numerators as per given numbers 407/288, 2277/597 is

GCF of Numerators i.e. for 407,2277 is 11

LCM of denominators i.e. for 288,597 is 57312.

Thus, GCF of Fractions is 11/57312.Finally, GCF of Fractions for 407/288, 2277/597 is 11/57312.